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" ... twice as many right angles as the figure has sides. "
Geometry Without Axioms; Or the First Book of Euclid's Elements. With ... - Page 103
by Thomas Perronet Thompson - 1833 - 150 pages
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The Madras University Calendar, Volume 1

University of Madras - 1879 - 674 pages
...MA, I. Prove that all the interior angles of any rectilineal figure together with four right angles, are equal to twice as many right angles as the figure has sides. II. Prove the proposition to which the following is a corollary : The difference of the squares on...
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The solution of geometrical exercises, explained and illustrated; with a ...

Charles Mansford - 1879 - 112 pages
...of the other angles that the interior angles of any rectilineal figure together with 4 right angles are equal to twice as many right angles as the figure has sides. (32.) 113. If two angles have their containing sides respectively parallel to one another the lines...
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Geometry, Old and New, Its Problems and Principles: A Paper

Benjamin Gratz Brown - Geometry - 1879 - 70 pages
...in other words, all the interior angles of any rectilinear figure together with four right angles, are equal to twice as many right angles as the figure has sides. Again, parallelograms upon equal bases and with the same altitude are equal. Of all figures bounded...
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879 - 120 pages
...32. Corollary 1. — The interior angles of any rectilineal figure together with four right angles are equal to twice as many right angles as the figure has sides. The angles of a regular hexagon + 4 right angles = 12 right angles ; .-. The angles of a regular hexagon...
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The Civil-engineer & Surveyor's Manual

Michael McDermott - Civil engineering - 1879 - 560 pages
...for future operations. 213. All the interior angles of any polygon, together with four right angles, are equal to twice as many right angles as the figure has sides. Example. Interior angles A, B, C, D, E, F = n 4 right angles, 860 Sum = n + 360 Namber of sides...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 474 pages
...are equal to twice as many right angles as the figure has sides. Therefore all the interior angles, together with all the exterior angles of the figure, are equal to all the interior angles together with four right angles (Ax. 1). From each of these equals take away...
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Scientific and practical geometry for self-instruction

Rolla Rouse - 1879 - 402 pages
...40 ... ... ... ... ... 103 The exterior and interior angles of an rectilineal figure, are together equal to twice as many right angles as the figure has sides, 41 ... 104 „ angles are together equal to four right angles, 42 ... ... ... ... „ The interior...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - Geometry - 1879 - 44 pages
...produced to meet, the angles formed by these lines, together with eight right angles, are together equal to twice as many right angles as the figure has sides. Same proposition. ABC is a triangle right-angled at A, and the angle B is double of the angle C. Show...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...But ACD+ACB = 2R; BAC+ABC+ACB = 2R. Corollary 1.—All the interior angles of a polygon are together equal to' twice as many right angles as the figure has sides, minus four right angles. Let ABODE be a polygon, and let n represent the number of its sides. Draw...
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An elementary treatise on geometrical drawing

John Henry Robson - 1880 - 118 pages
...proved that " All the Interior angles of any Rectilineal figure, "together with four right angles, are equal to "twice as many right angles as the figure has " sides." If, therefore, we suppose the polygon to have n sides, All its interior angles + 4.90 .= 272.90 . -....
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